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Finding the Fourth Proportional to 625.25, 938.00 and 259.85

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Solution

The fourth proportional to 625.25, 938.00 and 259.85 is: 389.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.25 : 938.00 = 259.85 : x
  2. Step 2: Convert to fraction form
    625.25/938.00 = 259.85/x
  3. Step 3: Cross multiply
    625.25x = 938.00 × 259.85
  4. Step 4: Simplify right side
    625.25x = 243,742.29
  5. Step 5: Solve for x
    x = 243,742.29/625.25
  6. Step 6: Final answer
    x = 389.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.